In the framework of weakly nonlocal thermodynamics theories, in this paper we derive a nonlocal and nonlinear heat-transport equation beyond the Fourier law by means of thermodynamic considerations in agreement with the second law. The obtained equation describes the transitions among different heat-transport regimes. The stability of the solution of that equation is also analyzed in a special case.

Generalized heat equation and transitions between different heat-transport regimes in narrow stripes

A. Sellitto
;
A. Amendola
2019-01-01

Abstract

In the framework of weakly nonlocal thermodynamics theories, in this paper we derive a nonlocal and nonlinear heat-transport equation beyond the Fourier law by means of thermodynamic considerations in agreement with the second law. The obtained equation describes the transitions among different heat-transport regimes. The stability of the solution of that equation is also analyzed in a special case.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11386/4723811
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